AP Calculus AB

Front

For a function g(x), g'(-2)=0 indicates that x=-2 is ________________.

Back

a critical point

Front

Given a function, f(x), if f'(x)>0 over a certain interval, then f(x) is __________ over that interval.

Back

increasing

Front

Solve the Initial Value Problem: y = ?

Back

Front

For a function f(x), f''(4)=0 indicates that x=4 is _____________.

Back

an inflection point

Front

If a function has a derivative that is negative, what does that tell you?

Back

The function is decreasing.

Front

What is the definition of a critical point?

Back

A critical point is where the derivative of a function is zero or undefined.

Front

What does f'(x) > 0 indicate about the function f(x)?

Back

The function is increasing on that interval.

Front

What is the significance of f''(x) in determining concavity?

Back

If f''(x) > 0, the function is concave up; if f''(x) < 0, it is concave down.

Front

What is an inflection point?

Back

An inflection point is where the function changes concavity.

Front

How do you find the relative maximum of a function?

Back

Set f'(x) = 0 and check the sign changes of f' around the critical points.